Localization of low-energy eigenfunctions in Šeba billiards.
作者信息
Lee Minjae
机构信息
Department of Mathematics, University of California, Berkeley, California 94720, USA.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062904. doi: 10.1103/PhysRevE.90.062904. Epub 2014 Dec 1.
PMID:25615161
Abstract
We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the low-level modes to one side of the plate while assuming the Dirichlet boundary condition at a point does not induce this type of localization. This low-energy phenomenon extends to higher modes as we increase the eccentricity of the plate.
摘要
Zotero 插件